Advanced Gauss Pseudospectral Method for Continuous-time Hammerstein System Identification

DOI

10.2991/iwmecs-15.2015.165How to use a DOI?

Keywords

Advanced Gauss Pseudospectral Method; Continuous-time Hammerstein System; Parameter Identification; Nonlinear Programming Problem

Abstract

In the paper, an advanced Gauss pseudospectral method (AGPM) is proposed to estimate the parameters of the continuous-time (CT) Hammerstein model consisting of a CT linear block followed by a static nonlinearity. The basic idea of AGPM is to transcribe the CT identification problem into a discrete nonlinear programming problem (NLP), which can be solved with the well-developed sequential quadratic programming (SQP) algorithm. The nonlinear part of the Hammerstein system is approximated with the Gauss pseudospectral approximation method. The linear part is written as a controllable canonical form. AGPM can converge to the true values of the CT Hammerstein model with few interpolated Legendre-Gauss (LG) nodes. Lastly illustrative examples are proposed to verify the accuracy and efficiency of the method.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Ying He
AU  - Ming-xiang Dai
AU  - Xin-min Yang
AU  - Wen-jun Yi
PY  - 2015/10
DA  - 2015/10
TI  - Advanced Gauss Pseudospectral Method for Continuous-time Hammerstein System Identification
BT  - Proceedings of the 2015 2nd International Workshop on Materials Engineering and Computer Sciences
PB  - Atlantis Press
SP  - 836
EP  - 844
SN  - 2352-538X
UR  - https://doi.org/10.2991/iwmecs-15.2015.165
DO  - 10.2991/iwmecs-15.2015.165
ID  - He2015/10
ER  -